کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
470657 | 698543 | 2011 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The existence and the uniqueness of symmetric positive solutions for a fourth-order boundary value problem
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The existence and the uniqueness of symmetric positive solutions for a fourth-order boundary value problem The existence and the uniqueness of symmetric positive solutions for a fourth-order boundary value problem](/preview/png/470657.png)
چکیده انگلیسی
The purpose of this paper is to investigate the existence and the uniqueness of symmetric positive solutions for a class of fourth-order boundary value problem: {y(4)(t)=f(t,y(t)),t∈[0,1],y(0)=y(1)=y′(0)=y′(1)=0. By using the fixed point index method, we establish the existence of at least one or at least two symmetric positive solutions for the above boundary value problem. Further, by using a fixed point theorem of general αα-concave operators, we also present criteria which guarantee the existence and uniqueness of symmetric positive solutions for the above boundary value problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 62, Issue 6, September 2011, Pages 2639–2647
Journal: Computers & Mathematics with Applications - Volume 62, Issue 6, September 2011, Pages 2639–2647
نویسندگان
Chengbo Zhai, Ruipeng Song, Qianqian Han,